Pith Number

pith:N6MAJFOQ

pith:2000:N6MAJFOQGOCLTPOAQI5PT43HZT

not attested not anchored not stored refs pending

Basic Properties of Coherent and Generalized Coherent Operators Revisited

Kazuyuki Fujii

arxiv:quant-ph/0009012 v2 · 2000-09-04 · quant-ph · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N6MAJFOQGOCLTPOAQI5PT43HZT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:05:06.766704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f980495d03384b9bdc0823af9f367ccda35f02882823186e2b8a21eb6c53030

Aliases

arxiv: quant-ph/0009012 · arxiv_version: quant-ph/0009012v2 · doi: 10.48550/arxiv.quant-ph/0009012 · pith_short_12: N6MAJFOQGOCL · pith_short_16: N6MAJFOQGOCLTPOA · pith_short_8: N6MAJFOQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/N6MAJFOQGOCLTPOAQI5PT43HZT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6f980495d03384b9bdc0823af9f367ccda35f02882823186e2b8a21eb6c53030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e0074fb49098d73a5fca399a9586f2f11cce5eedb121584e9c2a91dce405b0",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-09-04T08:02:16Z",
    "title_canon_sha256": "ec909409497a399d56909aa20fe2a40de12b8d92a95c655863209026b10fef4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0009012",
    "kind": "arxiv",
    "version": 2
  }
}